Determine whether t : r^2 --> r^2,t((x. y)) = (x, y^2) is a linear transformation

 No, the given transformation T is NOT a linear transformation.

Step-by-step explanation:  We are given to determine whether the following transformation T : R² --> R² is a linear transformation or not :

We know that

a transformation T from a vector space U to vector space V is a linear transformation if for ∈U and a, b ∈ R

So, for (x, y), (x', y') ∈ R², and a, b ∈ R, we have

and

Therefore, we get

Thus, the given transformation T is NOT a linear transformation.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1